WLreg: A new re-parametrization of the Weighted Lindley distribution and its regression model

A novel re-parametrization of the weighted Lindley distribution is introduced to develop a regression model suitable for skewed dependent variables defined on [Formula: see text]. This new model is called the WL2 regression model. It is shown to outperform existing models such as the gamma, extended gamma, and Maxwell-Boltzmann-exponential regression models. Parameter estimation is performed using the maximum likelihood estimation technique, and the efficiency of these estimates is assessed through a simulation study. An application to a house price data set is presented to highlight the importance of the WL2 regression model. In addition, we propose the WLreg software, accessible via https://bartinuni.shinyapps.io/WLreg, to facilitate the application of the new regression model for practitioners in the field.

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Publication Details

Journal
PLoS ONE
Published
2025-06-09
DOI
https://doi.org/10.1371/journal.pone.0324005
Primary Topic
Statistical Distribution Estimation and Applications
Type
article
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article

WLreg: A new re-parametrization of the Weighted Lindley distribution and its regression model

Hana Nasser Alqifari, Emrah Altun, Christophe Chesneau
PLoS ONE
Statistical Distribution Estimation and Applications
article

WLreg: A new re-parametrization of the Weighted Lindley distribution and its regression model

Hana Nasser Alqifari, Emrah Altun, Christophe Chesneau
article en

Abstract

A novel re-parametrization of the weighted Lindley distribution is introduced to develop a regression model suitable for skewed dependent variables defined on [Formula: see text]. This new model is called the WL2 regression model. It is shown to outperform existing models such as the gamma, extended gamma, and Maxwell-Boltzmann-exponential regression models. Parameter estimation is performed using the maximum likelihood estimation technique, and the efficiency of these estimates is assessed through a simulation study. An application to a house price data set is presented to highlight the importance of the WL2 regression model. In addition, we propose the WLreg software, accessible via https://bartinuni.shinyapps.io/WLreg, to facilitate the application of the new regression model for practitioners in the field.

PLoS ONEVol. 20(6)
Qassim University (SA), Bartin University (TR), Normandie Université (FR), Université de Caen Normandie (FR)
Openalex Percentile: Top 87%
Statistical Distribution Estimation and Applications
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WLreg: A new re-parametrization of the Weighted Lindley distribution and its regression model — Hana Nasser Alqifari, Emrah Altun, et al. · PLoS ONE (2025) | TGRS Research Map | TGRS